Question

look at the diagram. which equation can be used to solve for x? solve for x. x =

Explanation:

Step1: Combine like terms

The sum of \(2x\) and \(9x - 6\) is equal to \(71^{\circ}\). So, \(2x+(9x - 6)=71\).
Using the distributive property \(a+(b - c)=a + b - c\), we get \(2x+9x-6 = 71\).
Combining \(2x\) and \(9x\) (since \(2x+9x=(2 + 9)x=11x\)), the equation becomes \(11x-6 = 71\).

Step2: Solve for \(x\)

Add \(6\) to both sides of the equation \(11x-6 = 71\).
We have \(11x-6+6=71 + 6\), which simplifies to \(11x=77\).
Divide both sides by \(11\): \(x=\frac{77}{11}\).

Answer:

\(x = 7\)